Question 1

Solve the inequality.
-$12 k^{3}-16 k^{2} \leq 3 k$

Accepted Answer

A)  $\left(-\infty,-\frac{1}{6}\right]$ or $\left[0, \frac{3}{2}\right]$ 
B)  $\left(-\infty,-\frac{1}{6}\right)$ or $\left(0, \frac{3}{2}\right)$ 
C)  $\left\{-\infty,-\frac{1}{6}\right]$ or $\left[0, \frac{3}{2}\right)$ 
D) $\left\{-\infty,-\frac{1}{6}\right)$ or $\left[0, \frac{3}{2}\right]$ 
A)  $\left(-\infty,-\frac{1}{6}\right]$ or $\left[0, \frac{3}{2}\right]$ 
B)  $\left(-\infty,-\frac{1}{6}\right)$ or $\left(0, \frac{3}{2}\right)$ 
C)  $\left\{-\infty,-\frac{1}{6}\right]$ or $\left[0, \frac{3}{2}\right)$ 
D) $\left\{-\infty,-\frac{1}{6}\right)$ or $\left[0, \frac{3}{2}\right]$

Question 2

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$3 x-6 y=-4$
$18 x+9 y=-10$

Accepted Answer

A)  Perpendicular 
B)  Neither 
C)  Parallel 
A)  Perpendicular 
B)  Neither 
C)  Parallel

Question 3

Find the x-intercepts and y-intercepts of the graph of the equation.
- $-3 x+3 y=9$

Accepted Answer

A)  $x$-intercept: $3 ; y$-intercept: -3 
B)  $x$-intercept: $-3 ; y$-intercept: 3 
C)  $x$-intercept: $-4 ; y$-intercept: -3 
D)  $x$-intercept: $-3 ; y$-intercept: -4 
A)  $x$-intercept: $3 ; y$-intercept: -3 
B)  $x$-intercept: $-3 ; y$-intercept: 3 
C)  $x$-intercept: $-4 ; y$-intercept: -3 
D)  $x$-intercept: $-3 ; y$-intercept: -4

Question 4

Solve the problem.
-In a lab experiment 17 grams of acid were produced in 16 minutes and 19 grams in 39 minutes. Let $y$ be the grams produced in $x$ minutes. Write an equation for grams produced.

Accepted Answer

A)  $y=x-1$ 
B)  $23 y=2 x-359$ 
C)  $23 y=2 x-1$ 
D)  $23 y=2 x+359$ 
A)  $y=x-1$ 
B)  $23 y=2 x-359$ 
C)  $23 y=2 x-1$ 
D)  $23 y=2 x+359$

Question 5

Solve the inequality.
-$\frac{6 x+7}{6 x^{2}+6}>0$

Accepted Answer

A)  $(0, \infty)$ 
B)  $\left(-\frac{7}{6}, \infty\right)$ 
C)  $\left(-\infty,-\frac{6}{7}\right)$ 
D)  $\left(-\infty,-\frac{7}{6}\right)$ 
A)  $(0, \infty)$ 
B)  $\left(-\frac{7}{6}, \infty\right)$ 
C)  $\left(-\infty,-\frac{6}{7}\right)$ 
D)  $\left(-\infty,-\frac{7}{6}\right)$

Question 6

Solve the inequality.
-$3 \pi x^{2}-19 x+\sqrt{5}>0$
(Give approximations rounded to the nearest hundredth.)

Accepted Answer

A)  $(1.89,0.13)$ 
B)  $(-\infty, 1.89) \cup(0.13, \infty)$ 
C)  $(-\infty,-1.89) \cup(-0.13, \infty)$ 
D)  $(-1.89,-0.13)$ 
A)  $(1.89,0.13)$ 
B)  $(-\infty, 1.89) \cup(0.13, \infty)$ 
C)  $(-\infty,-1.89) \cup(-0.13, \infty)$ 
D)  $(-1.89,-0.13)$

Question 7

Use technology to compute $r$, the correlation coefficient.
-The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

Accepted Answer

A)  2635 
B)  6756 
C)  -.3707 
D)  6112 
A)  2635 
B)  6756 
C)  -.3707 
D)  6112

Question 8

Find the x-intercepts and y-intercepts of the graph of the equation.
-$-2 x+y=0$

Accepted Answer

A)  $x$-intercept: $-4 ; y$-intercept: -8 
B)  $x$-intercept: $-0 ; y$-intercept: 0 
C)  $x$-intercept: $-8 ; y$-intercept: -4 
D)  $x$-intercept: $0 ; y$-intercept: -0 
A)  $x$-intercept: $-4 ; y$-intercept: -8 
B)  $x$-intercept: $-0 ; y$-intercept: 0 
C)  $x$-intercept: $-8 ; y$-intercept: -4 
D)  $x$-intercept: $0 ; y$-intercept: -0

Question 9

Use technology to compute $r$, the correlation coefficient.
-Consider the data points with the following coordinates:

Accepted Answer

A)  -.0537 
B)  2145 
C)  -.0783 
D)  1085 
A)  -.0537 
B)  2145 
C)  -.0783 
D)  1085

Question 10

Use a graphing calculator to approximate all real solutions of the equation.
-$y=x^{3}-3 x^{2}-25 x+75$

Accepted Answer

A)  $25,3,75$ 
B)  3 
C)  $-3,3,5$ 
D)  $-5,3,5$ 
A)  $25,3,75$ 
B)  3 
C)  $-3,3,5$ 
D)  $-5,3,5$

Question 11

Solve the problem.
-The population $p$, in thousands, of one town can be approximated by $p=5+\frac{3}{2} d$ where $d$ is the number of years since 1985. Graph the equation and use the graph to estimate the population of the town in the year 1991.

Accepted Answer

A)  About 22,000 
B)  About 18,000 
C)  About 14 
D)  About 14,000 
A)  About 22,000 
B)  About 18,000 
C)  About 14 
D)  About 14,000

Question 12

Solve the problem.
-  What was the increase in sales between month 5 and month 6 of 1990 ?

Accepted Answer

A)  $\$ 800$ 
B)  $\$ 8000$ 
C)  $\$ 4$ 
D)  $\$ 4000$ 
A)  $\$ 800$ 
B)  $\$ 8000$ 
C)  $\$ 4$ 
D)  $\$ 4000$

Question 13

Solve the problem.
-The information in the chart below gives the salary of a person for the stated years. Model the data with a linear equation using the points $(1,24,700)$ and $(3,26,300)$. Then use this equation to predict the salary for the year 2002 .

Accepted Answer

A)  $\$ 33,140$ 
B)  $\$ 33,100$ 
C)  $\$ 33,120$ 
D)  $\$ 33,080$ 
A)  $\$ 33,140$ 
B)  $\$ 33,100$ 
C)  $\$ 33,120$ 
D)  $\$ 33,080$

Question 14

Find the slope and the y-intercept of the line.
-$3 x-5 y=29$

Accepted Answer

A)  $\mathrm{m}=\frac{3}{5} ; \mathrm{b}=-\frac{29}{5}$ 
B)  $\mathrm{m}=-\frac{5}{3} ; \mathrm{b}=-5$ 
C)  $\mathrm{m}=-\frac{3}{5} ; \mathrm{b}=29$ 
D)  $\mathrm{m}=\frac{5}{3} ; \mathrm{b}=-\frac{29}{5}$ 
A)  $\mathrm{m}=\frac{3}{5} ; \mathrm{b}=-\frac{29}{5}$ 
B)  $\mathrm{m}=-\frac{5}{3} ; \mathrm{b}=-5$ 
C)  $\mathrm{m}=-\frac{3}{5} ; \mathrm{b}=29$ 
D)  $\mathrm{m}=\frac{5}{3} ; \mathrm{b}=-\frac{29}{5}$

Question 15

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$6 x+2 y=8$
$18 x+6 y=26$

Accepted Answer

A)  Perpendicular 
B)  Neither 
C)  Parallel 
A)  Perpendicular 
B)  Neither 
C)  Parallel

Question 16

Solve the problem.
-The height $h$ in feet of a projectile thrown upward from the roof of a building after time $t$ seconds is shown in the graph below. How high will the projectile be after $0.9 \mathrm{~s}$ ?

Accepted Answer

A)  $425 \mathrm{ft}$ 
B)  $450 \mathrm{ft}$ 
C)  $475 \mathrm{ft}$ 
D)  $500 \mathrm{ft}$ 
A)  $425 \mathrm{ft}$ 
B)  $450 \mathrm{ft}$ 
C)  $475 \mathrm{ft}$ 
D)  $500 \mathrm{ft}$

Question 17

Use a graphing calculator to find the graph of the equation.
-$y=(x-3)^{3}-2$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Solve the problem using your calculator.
-The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Use linear regression to find a linear function that predicts the number of products sold as a function of the cost of advertising.

Accepted Answer

A)  $y=55.8+2.79 x$ 
B)  $\mathrm{y}=26.4+1.42 \mathrm{x}$ 
C)  $y=-26.4-1.42 x$ 
D)  $y=55.8-2.79 x$ 
A)  $y=55.8+2.79 x$ 
B)  $\mathrm{y}=26.4+1.42 \mathrm{x}$ 
C)  $y=-26.4-1.42 x$ 
D)  $y=55.8-2.79 x$

Question 19

Solve the problem.
-The cost of producing $t$ units is $C=5 t^{2}+5 t$, and the revenue generated from sales is $R=6 t^{2}+t$. Determine the number of units to be sold in order to generate a profit.

Accepted Answer

A)  $t>6$ 
B)  $t>5$ 
C)  $t>0$ 
D)  $t>4$ 
A)  $t>6$ 
B)  $t>5$ 
C)  $t>0$ 
D)  $t>4$

Question 20

sketch the graph of the equation.
-$y=x^{2}-5$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Solve the inequality. - $12 k^{3}-16 k^{2} \leq 3 k$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $3 x-6 y=-4$ $18 x+9 y=-10$

Find the x-intercepts and y-intercepts of the graph of the equation. - $-3 x+3 y=9$

Solve the problem. -In a lab experiment 17 grams of acid were produced in 16 minutes and 19 grams in 39 minutes. Let $y$ be the grams produced in $x$ minutes. Write an equation for grams produced.

Solve the inequality. - $\frac{6 x+7}{6 x^{2}+6}>0$

Solve the inequality. - $3 \pi x^{2}-19 x+\sqrt{5}>0$ (Give approximations rounded to the nearest hundredth.)

Use technology to compute $r$ , the correlation coefficient. -The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

Find the x-intercepts and y-intercepts of the graph of the equation. - $-2 x+y=0$

Use technology to compute $r$ , the correlation coefficient. -Consider the data points with the following coordinates:

Use a graphing calculator to approximate all real solutions of the equation. - $y=x^{3}-3 x^{2}-25 x+75$

Solve the problem. - What was the increase in sales between month 5 and month 6 of 1990 ?

Solve the problem. -The information in the chart below gives the salary of a person for the stated years. Model the data with a linear equation using the points $(1,24,700)$ and $(3,26,300)$ . Then use this equation to predict the salary for the year 2002 .

Find the slope and the y-intercept of the line. - $3 x-5 y=29$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $6 x+2 y=8$ $18 x+6 y=26$

Use a graphing calculator to find the graph of the equation. - $y=(x-3)^{3}-2$ $Use a graphing calculator to find the graph of the equation. - y=(x-3)^{3}-2$

Solve the problem. -The cost of producing $t$ units is $C=5 t^{2}+5 t$ , and the revenue generated from sales is $R=6 t^{2}+t$ . Determine the number of units to be sold in order to generate a profit.

sketch the graph of the equation. - $y=x^{2}-5$ $sketch the graph of the equation. - y=x^{2}-5$

Algebra and Equations

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 2: Graphs, Lines, and Inequalities

Solve the inequality. - 12k3−16k2≤3k12 k^{3}-16 k^{2} \leq 3 k12k3−16k2≤3k

Decide whether the pair of lines is parallel, perpendicular, or neither. - 3x−6y=−43 x-6 y=-43x−6y=−4 18x+9y=−1018 x+9 y=-1018x+9y=−10

Find the x-intercepts and y-intercepts of the graph of the equation. - −3x+3y=9-3 x+3 y=9−3x+3y=9

Solve the problem. -In a lab experiment 17 grams of acid were produced in 16 minutes and 19 grams in 39 minutes. Let yyy be the grams produced in xxx minutes. Write an equation for grams produced.

Solve the inequality. - 6x+76x2+6>0\frac{6 x+7}{6 x^{2}+6}>06x2+66x+7​>0

Solve the inequality. - 3πx2−19x+5>03 \pi x^{2}-19 x+\sqrt{5}>03πx2−19x+5​>0 (Give approximations rounded to the nearest hundredth.)

Use technology to compute rrr , the correlation coefficient. -The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

Find the x-intercepts and y-intercepts of the graph of the equation. - −2x+y=0-2 x+y=0−2x+y=0

Use technology to compute rrr , the correlation coefficient. -Consider the data points with the following coordinates:

Use a graphing calculator to approximate all real solutions of the equation. - y=x3−3x2−25x+75y=x^{3}-3 x^{2}-25 x+75y=x3−3x2−25x+75

Solve the problem. -The population ppp , in thousands, of one town can be approximated by p=5+32dp=5+\frac{3}{2} dp=5+23​d where ddd is the number of years since 1985. Graph the equation and use the graph to estimate the population of the town in the year 1991.